Finding the Fourth Proportional to 1,164.50, 1,607.02 and 698.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.50 : 1,607.02 = 698.76 : x
2. Step 2: Convert to fraction form
   1,164.50/1,607.02 = 698.76/x
3. Step 3: Cross multiply
   1,164.50x = 1,607.02 × 698.76
4. Step 4: Simplify right side
   1,164.50x = 1,122,921.30
5. Step 5: Solve for x
   x = 1,122,921.30/1,164.50
6. Step 6: Final answer
   x = 964.29